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1114793316 = 22327213173281
BaseRepresentation
bin100001001110010…
…0110010101100100
32212200200100221100
41002130212111210
54240341341231
6302341520100
736424405200
oct10234462544
92780610840
101114793316
115222a979a
12271413030
13149c60220
14a80adb00
1567d091e6
hex42726564

1114793316 has 216 divisors, whose sum is σ = 3563220024. Its totient is φ = 291271680.

The previous prime is 1114793311. The next prime is 1114793333. The reversal of 1114793316 is 6133974111.

It can be written as a sum of positive squares in 4 ways, for example, as 282240000 + 832553316 = 16800^2 + 28854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1114793311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3967096 + ... + 3967376.

It is an arithmetic number, because the mean of its divisors is an integer number (16496389).

Almost surely, 21114793316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114793316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781610012).

1114793316 is an abundant number, since it is smaller than the sum of its proper divisors (2448426708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114793316 is a wasteful number, since it uses less digits than its factorization.

1114793316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 1114793316 is about 33388.5207219487. The cubic root of 1114793316 is about 1036.8870537508.

It can be divided in two parts, 1114 and 793316, that added together give a triangular number (794430 = T1260).

The spelling of 1114793316 in words is "one billion, one hundred fourteen million, seven hundred ninety-three thousand, three hundred sixteen".